课程信息
19,509 次近期查看

100% 在线

立即开始,按照自己的计划学习。

可灵活调整截止日期

根据您的日程表重置截止日期。

中级

Basic knowledge of calculus and analysis, series, partial differential equations, and linear algebra.

完成时间大约为20 小时

建议:8 hours/week...

英语(English)

字幕:英语(English)
User
学习Course的学生是
  • Researchers
  • Research Assistants
  • Scientists
  • Data Scientists
  • Machine Learning Engineers

您将学到的内容有

  • Check

    How to solve a partial differential equation using the finite-difference, the pseudospectral, or the linear (spectral) finite-element method.

  • Check

    Understanding the limits of explicit space-time simulations due to the stability criterion and spatial and temporal sampling requirements.

  • Check

    Strategies how to plan and setup sophisticated simulation tasks.

  • Check

    Strategies how to avoid errors in simulation results.

User
学习Course的学生是
  • Researchers
  • Research Assistants
  • Scientists
  • Data Scientists
  • Machine Learning Engineers

100% 在线

立即开始,按照自己的计划学习。

可灵活调整截止日期

根据您的日程表重置截止日期。

中级

Basic knowledge of calculus and analysis, series, partial differential equations, and linear algebra.

完成时间大约为20 小时

建议:8 hours/week...

英语(English)

字幕:英语(English)

教学大纲 - 您将从这门课程中学到什么

1
完成时间为 3 小时

Week 01 - Discrete World, Wave Physics, Computers

6 个视频 (总计 63 分钟), 1 个阅读材料, 1 个测验
6 个视频
W1V2 Spatial scales and meshing12分钟
W1V3 Waves in a discrete world6分钟
W1V4 Parallel Simulations10分钟
W1V5 A bit of wave physics16分钟
W1V6 Python and Jupyter notebooks10分钟
1 个阅读材料
Jupiter Notebooks and Python10分钟
1 个练习
Discretization, Waves, Computers45分钟
2
完成时间为 4 小时

Week 02 The Finite-Difference Method - Taylor Operators

8 个视频 (总计 41 分钟), 1 个测验
8 个视频
W2V2 Definitions3分钟
W2V3 Taylor Series5分钟
W2V4 Python: First Derivative10分钟
W2V5 Operators5分钟
W2V6 High Order3分钟
W2V7 Python: High Order7分钟
W2V8 Summary1分钟
1 个练习
Taylor Series and Finite Differences20分钟
3
完成时间为 3 小时

Week 03 The Finite-Difference Method - 1D Wave Equation - von Neumann Analysis

9 个视频 (总计 50 分钟), 1 个测验
9 个视频
W3V2 Algorithm4分钟
W3V3 Boundaries, Sources4分钟
W3V4 Initialization4分钟
W3V5 Python: Waves in 1D5分钟
W3V6 Analytical Solutions4分钟
W3V7 Python: Waves in 1D3分钟
W3V8 Von Neumann Analysis19分钟
W3V9 Summary1分钟
1 个练习
Acoustic Wave Equation with Finite Differences in 1D - CFL criterion
4
完成时间为 7 小时

Week 04 The Finite-Difference Method in 2D - Numerical Anisotropy, Heterogeneous Media

10 个视频 (总计 83 分钟), 1 个测验
10 个视频
W4V2 Acoustic Waves 2D – Finite-Difference Algorithm6分钟
W4V3 Python: Acoustic Waves 2D8分钟
W4V4 Acoustic Waves 2D – von Neumann Analysis5分钟
W4V5 Acoustic Waves 2D – Waves in a Fault Zone8分钟
W4V6 Python: Waves in a Fault Zone9分钟
W4V7 Elastic Wave Equation – Staggered Grids16分钟
W4V8 Python: Staggered Grids5分钟
W4V9 Improving numerical accuracy11分钟
W4V10 Wrap up3分钟
1 个练习
Acoustic Wave Equation in 2D - Numerical Anisotropy - Staggered Grids45分钟
4.8
29 个审阅Chevron Right

来自Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python的热门评论

创建者 NLMar 14th 2019

Well thought out. The material is ordered logically and easy to follow. This online course compliments the book from which it is based on.

创建者 YHApr 9th 2019

This is a great course for intro to numerical course with additional bonus on python code, although a little bit too fast pace.

讲师

Avatar

Heiner Igel

Prof. Dr.
Earth and Environmental Sciences

关于 路德维希马克西米利安慕尼黑大学

As one of Europe's leading research universities, LMU Munich is committed to the highest international standards of excellence in research and teaching. Building on its 500-year-tradition of scholarship, LMU covers a broad spectrum of disciplines, ranging from the humanities and cultural studies through law, economics and social studies to medicine and the sciences....

常见问题

  • 注册以便获得证书后,您将有权访问所有视频、测验和编程作业(如果适用)。只有在您的班次开课之后,才可以提交和审阅同学互评作业。如果您选择在不购买的情况下浏览课程,可能无法访问某些作业。

  • 您购买证书后,将有权访问所有课程材料,包括评分作业。完成课程后,您的电子课程证书将添加到您的成就页中,您可以通过该页打印您的课程证书或将其添加到您的领英档案中。如果您只想阅读和查看课程内容,可以免费旁听课程。

还有其他问题吗?请访问 学生帮助中心